Advanced Optimization Techniques & Applications Detailed Syllabus for Thermal Engineering M.Tech first year first sem is covered here. This gives the details about credits, number of hours and other details along with reference books for the course.
The detailed syllabus for Advanced Optimization Techniques & Applications M.Tech 2017-2018 (R17) first year first sem is as follows.
M.Tech. I Year I Sem.
UNIT- I : Single Variable Non-Linear Unconstrained Optimization: One dimensional Optimization methods, Uni-modal function, elimination method, Fibonacci method, golden section method, interpolation methods- quadratic & cubic interpolation methods.
UNIT – II : Multi Variable Non-Linear Unconstrained Optimization: Direct search method – Univariant Method – pattern search methods – Powell’s – Hook – Jeeves, Rosenbrock search methods – gradient methods, gradient of function, steepest decent method, Fletcher reeves method. Variable metric method.
UNIT – III : Geometric Programming: Polynomials – arithmetic – geometric inequality – unconstrained G.P – constrained G.P Dynamic Programming: Multistage decision process, principles of optimality, examples, conversion of final problem to an initial value problem, application of dynamic programming, production inventory. Allocation, scheduling replacement.
UNIT- IV : Linear Programming: Formulation – Sensitivity analysis. Change in the constraints, cost coefficients, coefficients of the constraints, addition and deletion of variable, constraints. Simulation: Introduction – Types – Steps – application – inventory – queuing – thermal system.
UNIT- V : Integer Programming: Introduction – formulation – Gomory cutting plane algorithm – Zero or one algorithm, branch and bound method. Stochastic Programming: Basic concepts of probability theory, random variables – distributions – mean, variance, Correlation, co variance, joint probability distribution – stochastic linear, dynamic programming.
REFERENCES:
- Optimization theory & Applications/ S.S Rao/ New Age International
- Introductory to operation research/Kasan& Kumar/Springer
- Optimization Techniques theory and practice / M.C Joshi, K.M Moudgalya/ Narosa Publications.
- Operation Research/H.A. Taha/TMH
- Optimization in operations research/R.L Rardin
- Optimization Techniques/Benugundu & Chandraputla/Person Asia
- Optimization Techniques /Benugundu & Chandraputla / Pearson Asia
For all other M.Tech 1st Year 1st Sem syllabus go to JNTUH M.Tech Thermal Engineering 1st Year 1st Sem Course Structure for (R17) Batch.
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